Mathematics High School

please show work it’s for calc

Answers

Answer 1

Answer:

Step-by-step explanation:

The question is asking for the net area from x=3 to x=10.

It gives you the net area from x=3 to x=5 being -18.

It gives you the net area from x=5 to x=10, being 42.

Together those intervals make up the interval we want to find the net area for.

-18+42=42-18=24

Answer 2

Answer:

[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^{5}_3 {f(t)} \, dt = -18[/tex]

[tex]\displaystyle \int\limits^{10}_5 {f(t)} \, dt = 42[/tex]

[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = \int\limits^5_3 {f(t)} \, dt + \int\limits^{10}_5 {f(t)} \, dt[/tex][Integrals] Substitute: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = -18 + 42[/tex]Simplify: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Related Questions

PLEASE HELP I BEG IMMA FAILLLLLLLLL

In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what will the wingspan be?

Answers

Answer:

2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10

Hope I Helped You:)

Plzz help meeee plzzzz help

Answers

Answer: A. 20%

Step-by-step explanation:

First, to find the total number of teachers, we can add 25+32+18+5+20=100

Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:

20 ÷ 100 = 0.2

Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20

Therefore, the correct answer is A.

What value of t makes the equation true?
tx3 = 12 x 6

Answers

Answer: 24

Step-by-step explanation:

tx3 = 12 x 6

3t = 12*6

3t = 72

t = 24

You are to paint the globe held aloft by a statue of Atlas. The diameter of the globe is 10.5 in. How much surface area must you cover with paint if 27 square inches does not need to be painted (to the nearest hundredth)?

Answers

Answer:

Step-by-step explanation:

We have been given that we need to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in.

First of all we will find the area of globe using area of sphere formula.

, where r represents the radius of sphere.

Since diameter is 2 times the radius, so the radius of our given globe will be:

Since 27 square inches does not need to be painted, so the area we must cover with paint will be:

Upon rounding our answer to nearest hundredth we will get,

Therefore, we must cover 319.36 square inches with paint.

Please help me pleaseeee
I’ll give brainliest

Answers

Square root sign pie sign - 17
Sorry it’s not the best

In a teacher's math course, a linear regression line was calculated to predict
a student's final exam score from the score he received on the midterm. The equation was
Y = 25.5 + 0.82 where y is the final exam score and x is the score on the midterm. AJ scored 90 on the first test. AJ actually scored 99 on his final exam. What is the value of his residual?

A. -1.5
B. 1.5
C. 95
D. 97.5
E. None of these

Answers

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. E. None of these.

Reasons:

The given linear regression line equation is; [tex]\hat y[/tex] = 25.5 + 0.82·[tex]\mathbf{\hat x}[/tex]

Where;

[tex]\hat y[/tex] = Final exam score;

[tex]\hat x[/tex] = The midterm score;

AJ score in the first test, [tex]\hat x[/tex] = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, [tex]\hat y[/tex] = 25.5 + 0.82 × 90 = 99.3

The residual score = Predicted score - Actual score

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

E. None of these

Learn more about regression line equation here:

https://brainly.com/question/9339658

https://brainly.com/question/7361586

https://brainly.com/question/14747095

help QUICK PLS 12 POINTS JUST PLS

Answers

Answer:

The answer is 8.025.

Hope that helps. x

Yup, the guy above me is correct.

4. Find the difference. (-7p + 10) - (p + 12)

Answers

Answer:

-8p -2

Step-by-step explanation:

(-7p + 10) - (p + 12) =

-7p + 10 - p - 12 =

-8p -2

can someone help me
question down below

Answers

Answer:

N||M, K||J

Step-by-step explanation:

N and M are both parallel to each other and || symbolizes that, same goes for K and J

PLEASE HELP ME GUYS!!

Answers

this is your answer hope it's helpful for you

answer this please

as percentages

Answers

Where is the question??

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

Step-by-step explanation:

The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1

Hope that helps

A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
1732 + |-101 = 2
+
Step 1: = 1 + 9 + 10 = 2
+
Step 2= *** + 10 = 2
1 +9
10
Step 3: = 5 + 10 = 2
Step 4: =
2 + 10 = 2
Step 5: 12 = 2
Step 6: = 6
O A Step 4
OB. Step 1
OC Step 3
OD. Step 5

Answers

Answer:

Step 3.

Step-by-step explanation:

In step 3, he/she should've divided 10 by 2 instead of adding 1/5 to 9/5.

Conclusion:

Therefore, Step 3 includes the mistake.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer are all correct

Find the surface area of a cylinder with radius 8m and height 5 m

Answers

Answer:

A≈653.45

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127

: If 10 less than 5 times a number is two more than 3 times the number, then the number is

Answers

Answer:

x = 1

Step-by-step explanation:

If 10 less than 5 times a number is two more than 3 times the number, then the number is

10 - 5x = 2 + 3x

10 - 2 - 5x - 3x = 0

8 - 8x = 0

x = 1

---------------

check

10 - 5 * 1 = 2 + 3 * 1

5 = 5

the answer is good

4x−1<11 answer my question

Answers

Answer:

Step-by-step explanation:

5x=30
AAAA
Help.. -v-

Answers

Answer:

x equals 6:

5x=30

x=30/5

x= 6

Answer:

x=6

Step-by-step explanation:

to help you understand whatever you do on one side you do on the other so

in this case to find x we need to divide x by 5 and if we divide x by 5 we also

need to divide 30 by 5

∵5x=30

∵5x÷5=30÷5

∵x=6

What is the perimeter of triangle ABC with coordinates of A(3,4), B(3,11), C(27,4)

Answers

Answer:

Is there supposed to be a picture or no?

Step-by-step explanation:

please help i will mark brainliest

Answers

Answer:

. (5,20)

Step-by-step (x,y)=(5,20)

5, 20

Hope this helps

original price of a cd is 12.50. what is the price with a discount of 39%

Answers

Answer:

original price of a cd is 12.50. what is the price with a discount of 39%

Step-by-step explanation:

Which of the following is an irrational number?
A
64−−√

B
90−−√

C
25−−√

D
169−−−√
please help

Answers

Answer:

sqrt(90) is irrational

Step-by-step explanation:

sqrt(64) = 8

sqrt(90) = 3 sqrt(10)

sqrt(25) =5

sqrt(169)=13

The only one that is not simplified to an integer is sqrt(90)

sqrt(90) is irrational

What is 0.02349 written in standard form to 3 significant figures

Answers

Solve from right to left

[tex]\\ \sf\Rrightarrow 0.02349[/tex]

[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]

[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]

Option C is correct

My question that I need help on

Answers

Answer:

Step-by-step explanation:

Write and solve a system of THREE inequalities that models the situation below.
Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.

Answers

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

We can describe 3x - 2 as an expression.
How can we describe the parts of the expression that the arrows point to?
3x- 2

Answers

Given:

3x - 2

To find:

Describe the parts of the expression

Solution:

3x - 2Let us consider, f (x) = 3x - 2

The standard equation of the straight line is given by, y = mx + c

comparing the given equation with straight line equation, we get,

f (x) = y

m = 3

c = -2

m is the gradient of line

c is the y intercept (the graph crosses the y - axis)

The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two numbers

Answers

Answer:

The two numbers are:

30 and 18

Step-by-step explanation:

a + b = 48

a - b = 12

From the first eq.

a = 48 - b

Replacing this last value in the second eq.

(48 - b) - b = 12

48 - 2b = 12

48 - 12 = 2b

36 = 2b

36/2 = b

18 = b

from the first eq.

a + 18 = 48

a = 48 - 18

a = 30

Check:

from the second eq.

a - b = 12

30 - 18 = 12

Jenna works a job where her pay varies directly with the number of hours she has worked. In one week, she worked 35 hours and made $274.75. How many hours would she need to work in order to earn $337.55?

Answers

274.75/35= $7.85 per hour
337.55/7.85= 43 hours

If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point
I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
Please show your work...No spam.. Thank you.

Answers

Answer:

III) (5, -1)

Step-by-step explanation:

Given relationship between the constants of the line ax + by +c = 0:

a - 5b - 3c = 8

We can try options, the obvious one is:

a = 0, b = - 1, c = - 1

In this case the line becomes:

0x - y - 1 = 0y = - 1

This gives us the point (5, - 1), the option III

solve the equation using elimination

Answers

Answer:

1 1/3

Step-by-step explanation:

you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7

What is 5 14/12 in simplest form

Answers

Answer:

the answer is probably 7/6

hope I am correct and if not I'm sorry

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